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Finding the Fourth Proportional to 6,890.77, 9,509.37 and 3,746.97

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Solution

The fourth proportional to 6,890.77, 9,509.37 and 3,746.97 is: 5,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.77 : 9,509.37 = 3,746.97 : x
  2. Step 2: Convert to fraction form
    6,890.77/9,509.37 = 3,746.97/x
  3. Step 3: Cross multiply
    6,890.77x = 9,509.37 × 3,746.97
  4. Step 4: Simplify right side
    6,890.77x = 35,631,324.11
  5. Step 5: Solve for x
    x = 35,631,324.11/6,890.77
  6. Step 6: Final answer
    x = 5,170.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.